Many public bathrooms stink, literally
and figuratively. We won't even get
into public showers (even places like
Japan where they are common public
showers could be cleaner.) This
bathroom works off of the fast food
system of, nothing fancy, high
volume and always (relatively) clean.

Flowchart
goes something like this:

You wait in the lines until you get up
to the front and pay for what you
want. You get a number.

You pay the equivalent for 2 USD to
use the bathroom. The bathroom
attendants find a space for you and
clean it up. They radio your number
and you go in.

Or you pay 6 USD or equivalent for
for a shower and a room just big
enough for a sink and changing area.
Towels and soap provided with the
cost. Hot water on a timer, extra
money can bring up the time.

10 USD for a family sized room with
sink, shower, and toilet stall.

Things one can order on the side
would be hygiene products, cologne/
perfume and make-up.

Such chains could even open up in
stadiums feasably with commercial
promotions by sports celebrities.

They are automatic toilets that you pay to enter and that are washed down after each visit. I've been in one that was entirely made of stainless steel and had a fold-down lever over a hole in the floor as the loo. These loos meet your cleaniness and speed requirement although they obviously lack the luxury.